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Finding the Third Proportional to 41,702 and 90,064

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Solution

The third proportional to 41,702 and 90,064 is: 194,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702 : 90,064 = 90,064 : x
  2. Step 2: Convert to fraction form
    41,702/90,064 = 90,064/x
  3. Step 3: Cross multiply
    41,702x = 90,064 × 90,064
  4. Step 4: Simplify right side
    41,702x = 8,111,524,096
  5. Step 5: Solve for x
    x = 8,111,524,096/41,702
  6. Step 6: Final answer
    x = 194,511.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.